Photon orbits and phase transitions in Born-Infeld-dilaton black holes

Haitang Li; Yong Chen; Shao-Jun Zhang

doi:10.1016/j.nuclphysb.2020.114975

paper

Photon orbits and phase transitions in Born-Infeld-dilaton black holes

arXiv:1908.09570 · doi:10.1016/j.nuclphysb.2020.114975

Abstract

Relations between photon orbits and thermodynamical phase transitions are explored in Born-Infeld-dilaton-AdS black hole. The coupling between the electromagnetic field and the dialton field is chosen such that the full phase diagram contains zeroth-order and first-order phase transitions as well as RPT. We find that there exist non-monotonic beahviors of the photon orbit radius $r_{p s}$ and the minimum impact parameter $u_{p s}$ which signal the existence of the various phase transitions. In particular, the marginal value of pressure under which RPT occur can be read off from these behaviors. Along the co-existing lines, there are changes of both $r_{p s}$ and $u_{p s}$ , whose dependence on the transition temperature show characteristic behaviors signalling the existence of RPT. Moreover, the critical exponents of $Δ r_{p s}$ and $Δ u_{p s}$ are found to take a universal value $\frac{1}{2}$ . These results imply that $r_{p s}$ and $u_{p s}$ can be used as order parameters to describe BH phase transitions.

arXiv comment7 pages, 7 figures

Photon orbits and phase transitions in Born-Infeld-dilaton black holes

Abstract

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